The positive-only integer series from the proximate-prime
polynomial (PPP) 2n2 - 2n +
53089 produces 634 primes in the first 1000 terms. This is more than for any other PPP derived from 4 successive
primes under 1000000. As comparison, 582 primes are
generated by the quadratic n2 -
n + 41. [Capelle]